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Published in:
2015 | OriginalPaper | Chapter
4. Replacement Overtime with Three Variables
Authors : Toshio Nakagawa, Xufeng Zhao
Published in: Maintenance Overtime Policies in Reliability Theory
Publisher: Springer International Publishing
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Abstract
In Chaps. 1 and 2, we have considered several replacement policies in which the unit is replaced at time T or at cycle N, and at time T or at failure K. In this chapter, we propose modified replacement policies with three variables in which the unit is replaced at time T, and at cycle N, or at failure K: In Sect. 4.1, the classical approach of whichever occurs first and the newly proposed approach of whichever occurs last (Zhao X, Nakagawa T, Euro J Oper Res, 223:141–149, 2012, [1]) are employed into modeling. Furthermore, we propose a new replacement policy in which the unit is replaced at time T, at cycle N, or at failure K, whichever occurs middle (Zhao X, Qian C, Nakamura S, What is middle maintenance policy? 2014, [2]). For example, the unit is replaced at time T in case of \(\{t_N<T<t_K\}\) or \(\{t_K<T<t_N\}\), there \(t_N\) and \(t_K\) are denoted by the respective occurrence times of cycle N and failure K.